Question

Replace $\star$by symbols $>,<or=$ to make each statement true :

$\frac{12}{21}\star \frac{9}{14}$

Answer 1

Comaparing the fractions

Converting the given fractions into like fractions

To convert fractions into like fractions, we need to find the LCM of denominator.

$LCM(21,14)=42$

$\frac{12}{21}=\frac{12\times 2}{21\times 2}=\frac{24}{42}$

$\frac{9}{14}=\frac{9\times 3}{14\times 3}=\frac{27}{42}$

$\frac{12}{21}\star \frac{9}{14}=\frac{24}{42}>\frac{27}{42}$

Hence, $\star$is replaced by $>$ sign.